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Finding the Fourth Proportional to 947.61, 1,307.36 and 699.53

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Solution

The fourth proportional to 947.61, 1,307.36 and 699.53 is: 965.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.61 : 1,307.36 = 699.53 : x
  2. Step 2: Convert to fraction form
    947.61/1,307.36 = 699.53/x
  3. Step 3: Cross multiply
    947.61x = 1,307.36 × 699.53
  4. Step 4: Simplify right side
    947.61x = 914,527.51
  5. Step 5: Solve for x
    x = 914,527.51/947.61
  6. Step 6: Final answer
    x = 965.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.